I came across this here.
Although the definition of "Chinese angle" is "a strange or unusual twist or aspect to something", and because there's no any context for the example question, but there is the preposition "on" before "it", I need a suggestion for the possible missing context (in order to fully understand how, when and where I might use the phrase, should I feel like doing it).
As for me, I think that it might be that someone is examining something, twisting it in his hands, for a long time, and the other one, getting bored, may say: "Well, now! Are you trying to find a Chinese angle on it?" (meaning some invisible defect).
Please, correct me if I'm wrong with my guess.